A fast algorithm for solving first-order PDEs by L1-minimization Academic Article uri icon

abstract

  • In this paper, we state a convergence result for an L1-based finite element approximation technique in one dimension. The proof of this result is constructive and provides the basis for an algorithm for computing L1-based almost minimizers with optimal complexity. Several numerical results are presented to illustrate the performance of the method. 2008 International Press.

published proceedings

  • Communications in Mathematical Sciences

author list (cited authors)

  • Guermond, J., Marpeau, F., & Popov, B.

citation count

  • 16

complete list of authors

  • Guermond, Jean-Luc||Marpeau, Fabien||Popov, Bojan

publication date

  • January 2008